Answer:
D
Step-by-step explanation:
How can you use the double number line diagram to find what percent 120 is of 150?
Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.
To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.
On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.
This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.
To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.
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2/5 X -3/4
i need help on this
Answer:
\(-\frac{3}{10}\)
Step-by-step explanation:
\(\frac{2}{5} *-\frac{3}{4} \\=-\frac{6}{20} \\=-\frac{3}{10}\) (Reduced to simplest form.)
Which monomials are factors of 11a^3b^5 ?
Answer:
Since there are no common prime factors,
the only common factor for 11 a^ 3 b ^5 is 1 .
Step-by-step explanation:
If , then what is –K
Asap!!!
Answer:
I think C
I see a pattern
Do the opposite of their signs in the same number pattern just do their opposite sign.
Solve for x using the
distributive property.
-5(x - 2) = -20
Answer:
x=6
Step-by-step explanation:
-5(x - 2) = -20
first multiple 5 by x and -2
-5x 10 = -20
subtract 10 from 10 and -20
-5x=-30
then divide 5
x=6
tipler stock dropped $5 monday, rosary $3 Tuesday, and rose $7 Wednesday. what was the net change in price of the stock
Answer:
drooped $1
Step-by-step explanation:
first,dropped $5=(-$5)
second,rosary $3=(-$3)
third,rose $7=(+$7)
solution:
(-$5)+(-$3)+(+$7)
=-$5-$3+$7
=-$8+$7
=-$1
the net change in price of the stock was drooped $1 .
The required net change in the price of the stock is -$1.
Given that,
Tipler stock dropped $5 Monday, rosary $3 Tuesday, and rose $7 Wednesday. To determine the net change in the price of the stock
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
On Monday price dropped by $5 = -$5
On Tuesday price dropped by -$3 = -$3
On Wednesday price rose by $7 = +$7
Net = -5 -3 +7
Net = -$1
Thus, the required net change in the price of the stock is -$1.
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Solve the following system of equations algebraically for all values of x, y, and z. show work
2x + 3y - 4x = -1
x - 2y + 5z = 3
- 4x + y + z = 16
Answer:
(x, y, z) = (-2, 5, 3)
Step-by-step explanation:
You want an algebraic solution to the system of equations ...
2x + 3y - 4x = -1x - 2y + 5z = 3-4x + y + z = 16SubstitutionThe second equation suggests an expression for x:
x = 2y -5z +3
Substituting this into the first and third equations, we have ...
2(2y -5z +3) +3y -4z = -1 ⇒ 7y -14z = -7 ⇒ y -2z = -1
-4(2y -5z +3) +y +z = 16 ⇒ -7y +21z = 28 ⇒ y -3z = -4
These equations are reduced to standard form by dividing by the leading coefficient.
EliminationSubtracting the second of these equations from the first, we have ...
(y -2z) -(y -3z) = (-1) -(-4)
z = 3 . . . . . . . simplify
The first of these reduced equations tells us ...
y = 2z -1 = 2(3) -1 = 5
And our original substitution equation says ...
x = 2y -5z +3 = 2(5) -5(3) +3 = -2
The solution is (x, y, z) = (-2, 5, 3).
__
Additional comment
A calculator confirms this solution. The "work" is entering the correct coefficients into the appropriate calculator function, then interpreting the result.
if there is a trophy that is 13 inches tall and it's shadow is 26 inches and there's another trophy that's 7 inches tall, whats is it's height?
A survey found that the American family generates an average of 17.2 pounds of glass garbage each year. Assume the standard deviation of the distribution is 2.5 pounds. Find the probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds. Assume that the sample is taken from a large population and the correction factor can be ignored. Round your final
answer to four decimal places and intermediate z-value calculations to two decimal places
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:
0.5874 = 58.74%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)
The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
Z = (18.1 - 17.2)/0.3953
Z = 2.28
Z = 2.28 has a p-value of 0.9887.
Z = (17.1 - 17.2)/0.3953
Z = -0.25
Z = -0.25 has a p-value of 0.4013.
Hence:
0.9887 - 0.4013 = 0.5874 = 58.74%.
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A local theatre sells out for their show. They sell all 500 tickets for a total purse of $7,860.00. The tickets were priced at $15 for students, $12 for children, and $18 for adults. If the band sold three times as many adult tickets as children's tickets, how many of each type were sold?
The number of each type of tickets sold are;
180 adults tickets
260 students tickets
60 children tickets
How to solve simultaneous equation word problems?
Let us solve to get the solution using 3 variables.
Let c be the number of children's tickets
Let s be the number of student tickets
Let a be the number of adult tickets
We are told that the total number of tickets was 500
Thus;
a + s + c = 500 ------(1)
The number of adult tickets was 3 times the number of children's tickets. Thus;
a = 3c ------(2)
The total cost of the tickets was $8070. Thus;
18a + 15s + 12c = 7860 ----(3)
We conclude that solving these three equations simultaneously gives us;
a = 180 adults
s = 260 students
c = 60 children
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Use the graph of y=400(0.60)^x to help you determine the value of x when f(x) =52
Answer:
f(x) = 52 is approximately 7.63.
Step-by-step explanation:
We can substitute f(x) = 52 in the equation y = 400(0.60)^x and solve for x:
52 = 400(0.60)^x
Divide both sides by 400:
0.13 = (0.60)^x
Take the logarithm of both sides:
log(0.13) = x*log(0.60)
Divide both sides by log(0.60):
x = log(0.13)/log(0.60)
Using a calculator, we get:
x ≈ 7.63
Therefore, the value of x when f(x) = 52 is approximately 7.63.
The diameter of a cylindrical water tank is 8ft, and its height is 6ft. What is the volume of the tank?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
If the diameter of a cylindrical water tank is 8ft, and its height is 6ft, the volume of the water tank is approximately 302 cubic feet.
To find the volume of the cylindrical water tank, we need to use the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Since we are given the diameter of the tank, which is 8ft, we can find the radius by dividing it by 2. Thus, the radius of the tank is 4ft. The height is given as 6ft.
Substituting these values into the formula, we get:
V = π(4ft)²(6ft)
V = π(16ft²)(6ft)
V = 96π ft³
Now we can approximate this volume by using the value of π as 3.14 and rounding the answer to the nearest whole number.
V ≈ 96(3.14) = 302.4
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I REALLY NEED SOME HELP PLSSS
The vocabulary term for segment a is an apothem.
The area of this polygon is 41.6 yd².
How to calculate the area of a regular polygon?In Mathematics and Geometry, the area of a regular polygon can be calculated by using this formula:
Area of regular polygon = (n × s × a)/2
Where:
n represents the number of sides.s represents the side length.a represents the apothem.By substituting the given parameters into the formula for the area of a regular polygon, we have the following:
Area of regular polygon = (6 × 4 × 2√3)/2
Area of regular polygon = (24 × 2√3)/2
Area of regular polygon = 83.1/2
Area of regular polygon = 41.6 yd².
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If you could help me with this, you can have all my points. PLEASE HELP
Answer:
all real numbers
Step-by-step explanation:
The domain is the possible input values, or in this case, the values that x can be
For this graph, x can be any value, so x is all real numbers, the domain is all real numbers
???? help pls !$!! !!!!
Answer:
I'm pretty sure congruent means if you split them in half will they be the same shape
Step-by-step explanation:
so Yes they are congruent because if you cut a diamond in half it's going to be two triangles two triangles that are the exact same size and if you fold them they're going to be the same
The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?
Answer:
the equation is : 7x + 15 + 15 = 17xand x = 3Step-by-step explanation:
The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?
7x + 15 + 15 = 17x
30 = 10x
x = 3
--------------------
check
7×3+15+15=17×3
21 + 30 = 51
51=51
the answer is good
Answer:
17x=30+7x
Step-by-step explanation:
solve the quadratic equation by completing the square x^2+8x+11=0
Answer:
\(x=-4\pm\sqrt5\)
Step-by-step explanation:
So we have the equation:
\(x^2+8x+11=0\)
First, subtract 11 from both sides:
\(x^2+8x=-11\)
Now, add the c term. Divide 8 by 2 and then square it:
\((x^2+8x+16)=-11\)
What we do to one side we must also do to the other. Thus:
\((x^2+8x+16)=-11+16\)
Simplify:
\((x^2+8x+16)=5\)
Perfect Square Trinomial:
\((x+4)^2=5\)
Take the square root:
\(x+4=\pm\sqrt5\)
Subtract 4:
\(x=-4\pm\sqrt5\)
And that's our answer :)
IF UR GOOD AT PRECALC PLEASE HELP
Answer:
Answer is C, u can find this just by looking at domain
What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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Sally made a profit of $2500 after selling stocks for $19000 after 2.5 years. What was her average annual percentage gain?
13.25%
6.06%
3.78%
Sally's average annual percentage gain is approximately 5.26%.
To calculate Sally's average annual percentage gain, we can use the formula:
Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100
Profit = $2500
Initial Investment = $19000
Time = 2.5 years
Substituting the values into the formula:
Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100
= (0.1316) * (0.4) * 100
= 5.26
Therefore, Sally's average annual percentage gain is approximately 5.26%.
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A grocery store bought ice cream for $2.80 per half gallon and stored it in two freezers. During the night, one freezer malfunctioned and ruined 12 half gallons. If the remaining ice cream is sold for $3.96 per half gallon, how many half gallons did the store buy if they made a profit of $66.16?
Steps:
Add 47.52 to both sides
Divide both sides by 1.16
x= 98
Description:
The first step is to add 47.52 to both sides then simplify it then divide the both sides by 1.16. And your answer will equal as x=98.
Answer: x= 98
Please mark brainliest
Hope this helps.
The ratio of moose to reindeer is 5 to 4. If
there are 60 moose, how many reindeer are
there?
Answer:
48 reindeer
Step-by-step explanation:
the 5 part of the ratio relates to 60 moose , then
60 ÷ 5 = 12 ← value of 1 part of the ratio
then
4 × 12 = 48 ← number of reindeer
Let X~ Unif( {1,..., n}), that is, X is a r.v. that can take with equal probability any of the values 1, ..., n. Find Var(X) Hint: Recall the identities that we used when discussing #2.1 in class. Evaluate your answer for n=17, to find Var(x) for X ~ Unif( {1, ..., 17}). Enter your answer below (+-0.1 is ok)
The variance for the given expression that takes any value from 1 to n is Var(X)=22. Then, option c is correct.
Variance is the term used in statistics that helps to measure how far each value in the data lies from the mean and from other values. This is written as \(\text{Var}(X)=E(X^2)-[E(X)]^2\).
Let's first write the given condition X~U(1,n) as function as follows,
\(f(x)=\begin{cases}\frac{1}{n-1} &1 < x < n\\0&\text{otherwise}\end{cases}\)
Then, E(X) is written as,
\(\begin{aligned}E(X)&=\int^n_1\xf(x)dx\\&=\int^n_1\frac{x}{n-1}dx\\&=\left[\frac{x^2}{2(n-1)}\right]^n_1\\&=\frac{n^2-1}{2(n-1)}\\&=\frac{(n+1)(n-1)}{2(n-1)}\\&=\frac{n+1}{2}\end{aligned}\)
Now, E(X²) is written as,
\(\begin{aligned}E(X^2)&=\int^n_1\frac{x^2}{n-1}dx\\&=\left[\frac{x^3}{3(n-1)}\right]^n_1\\&=\frac{n^3-1}{3(n-1)}\\&=\frac{(n-1)(n^2+1+2n)}{3(n-1)}\\&=\frac{n^2+2n+1}{3}\end{aligned}\)
Using both E(X) and E(X²), the variance is calculated as follows,
\(\begin{aligned}\text{Var}(X)&=E(X^2)-[E(X)]^2\\&=\frac{n^2+1+2n}{3}-\frac{(n+1)^2}{4}\\&=\frac{4n^2+4+4n-3n^2-3-6n}{12}\\&=\frac{n^2+1+2n}{12}\\&=\frac{(n-1)^2}{12}\end{aligned}\)
Substituting the value n=17 in the above expression, we get 21.33≈22. Therefore, the correct option would be option c.
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The complete question is -
Let X ~ Unif({1,...,n}). Find Var(X).
Hint: Recall the identities that we used when discussing #2.1 in class.
Evaluate your answer for n = 17, to find Var(x) for X - Unif{{1,..., 17}), and mark the number that is closest to your solution
(a) 18 (b) 20 (c) 22 (d) 24 (e) 30 (f) 32 (g) 34
Solve the inequality statement:
4r-5<5r+7
Answer:
r<-12Step-by-step explanation:
hope this helps........
Answer:b
Step-by-step explanation:
find x if the following points have a slope of 2 (-3,-2) & (x,6)
Answer:
x = 1
Step-by-step explanation:
Lets start off with the slope formula (m stands for slope, (x1, y1), (x2, y2):
m = (y2 - y1) / (x2 - x1)
Now, let's insert the values we do have into this equation. We know that m=2, x1 = -3, y1 = -2, x2 = x, and y2 = 6.
2 = (6 - (-2)) / (x - (-3))
Now we have to solve this equation, so lets multiply the denominator to both sides. And I’m also just going to rewrite the inside of the parenthesis because two negatives equals a positive.
2(x + 3) = (6 + 2)
Let's distribute the 2 to the parenthesis and simplify the right side.
2x + 6 = 8
Now subtract the 6 from both sides.
2x = 2
And divide 2 from both sides to isolate the variable.
x = 1
Ta-da! We've got our answer, x = 1.
A package of 6 pairs of insulated socks costs $33.54. What is the unit price of the pairs of socks?
Answer:
5.59
Step-by-step explanation:
unit price = total price / total number of pairs
= 33.54/6 = $ 5.59
Answer:
5.59 each pair of socks.
Step-by-step explanation:
33.54÷6=5.59
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
Write in Slope Intercept Form :-)
Find the area of the parallelogram
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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what is the midpoint of the segment shown below? (3,5) (2,2)
Answer:
(5/2, 7/2)
Step-by-step explanation:
Use the midpoint formula to solve for the midpoint:
\((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\\\(\frac{3+2}{2},\frac{5+2}{2})\\\\(\frac{5}{2},\frac{7}{2})\)